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Finding the Fourth Proportional to 727.80, 1,004.33 and 413.10

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Solution

The fourth proportional to 727.80, 1,004.33 and 413.10 is: 570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.80 : 1,004.33 = 413.10 : x
  2. Step 2: Convert to fraction form
    727.80/1,004.33 = 413.10/x
  3. Step 3: Cross multiply
    727.80x = 1,004.33 × 413.10
  4. Step 4: Simplify right side
    727.80x = 414,889.76
  5. Step 5: Solve for x
    x = 414,889.76/727.80
  6. Step 6: Final answer
    x = 570.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.